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arXiv 1111.0565cond-mat.mtrl-sci
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热电体的连续介质理论与热电复合材料的有效性能

A continuum theory of thermoelectric bodies and effective properties of thermoelectric composites

Liping Liu

摘要:

本文在连续介质力学的框架下,根据热力学的一般原理,建立了热电体的连续介质理论。对于定常状态,局部场的控制方程本质上是非线性的。然而,在电化学电势、温度及其梯度变化较小的条件下,控制方程可以简化为线性椭圆方程组,可以方便地求解该方程组以确定热电体的行为。进一步将线性理论应用于预测热电复合材料的有效性能。特别地,对于简单的层合结构和周期性E夹杂,得到了有效性能的显式公式,这为工程热电复合材料的设计提供了有用的原则。

英文摘要:

We develop a continuum theory for thermoelectric bodies following the framework of continuum mechanics and conforming to general principles of thermodynamics. For steady states, the governing equations for local fields are intrinsically nonlinear. However, under conditions of small variations of electrochemical potential, temperature and their gradients, the governing equations may be reduced to a linear elliptic system, which can be conveniently solved to determine behaviors of thermoelectric bodies. The linear theory is further applied to predict effective properties of thermoelectric composites. In particular, explicit formula of effective properties are obtained for simple microstructures of laminates and periodic E-inclusions, which implies useful design principles for engineering thermoelectric composites.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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